Pith Number

pith:KRKK7HTM

pith:2025:KRKK7HTMCJBAVEL3KF6T7MYAB6

not attested not anchored not stored refs pending

The double of a simplicial complex

Bridget Schreiner, Kathryn Lesh, Nathalie Wahl

arxiv:2506.10436 v1 · 2025-06-12 · math.CO · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRKK7HTMCJBAVEL3KF6T7MYAB6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:20:23.617946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5454af9e6c12420a917b517d3fb3000f8ad8aa7ae4c27d0a61b886879ba3cc4e

Aliases

arxiv: 2506.10436 · arxiv_version: 2506.10436v1 · doi: 10.48550/arxiv.2506.10436 · pith_short_12: KRKK7HTMCJBA · pith_short_16: KRKK7HTMCJBAVEL3 · pith_short_8: KRKK7HTM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KRKK7HTMCJBAVEL3KF6T7MYAB6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5454af9e6c12420a917b517d3fb3000f8ad8aa7ae4c27d0a61b886879ba3cc4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac4f373641942e9f5a8a087afdf897ef78d6c77d05aa451f8c28b8ec85a88270",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-12T07:39:05Z",
    "title_canon_sha256": "43800c09223574c2f02388e5c5e61eeb141e28472b958361776c1f8cc58006fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10436",
    "kind": "arxiv",
    "version": 1
  }
}